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Finding the Third Proportional to 517,896 and 1,129,940

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Solution

The third proportional to 517,896 and 1,129,940 is: 2,465,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,896 : 1,129,940 = 1,129,940 : x
  2. Step 2: Convert to fraction form
    517,896/1,129,940 = 1,129,940/x
  3. Step 3: Cross multiply
    517,896x = 1,129,940 × 1,129,940
  4. Step 4: Simplify right side
    517,896x = 1,276,764,403,600
  5. Step 5: Solve for x
    x = 1,276,764,403,600/517,896
  6. Step 6: Final answer
    x = 2,465,291.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.